document.write( "Question 552013: Write an equation of the line that passes through the given point and is perpendicular to the given line.
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document.write( "problem 1.
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document.write( "(1,-1),y=3x+2
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document.write( "problem 2.
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document.write( "(5,0),y=2/3x-4
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document.write( "problem 3.
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document.write( "(3,-7),y=-1/5x+1 \n" );
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Algebra.Com's Answer #360114 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 1 y = 3 x + 2 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = 3.000 x + 2 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 3 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal m1*m2=-1 \n" ); document.write( "The slope of the required line will be -1/3 \n" ); document.write( " \n" ); document.write( "m= - 1/3 ,point ( 1 , -1 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-1 = -1/3 + b \n" ); document.write( "b= -2/3 \n" ); document.write( " \n" ); document.write( "m= - 1/3 \n" ); document.write( "The required equation is y = - 1/ 3 x - 2/ 3 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( "\n" ); document.write( "1 y = 2/3 x -4 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = 0.667 x + -4 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 2/3 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal -1.5 \n" ); document.write( "m1*m2=-1 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "m= -3/2 ,point ( 5 , 0 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "0 = -15/2 + b \n" ); document.write( "b= 15/2 \n" ); document.write( "m= -3/2 \n" ); document.write( "The required equation is y = -3/ 2 x + 15/ 2 \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |